# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1032977698:0221
# Permalink to this reading: https://leibnizlegible.com/page/1032977698:0221?run=74
# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio 199, page id 1032977698:0221
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=221
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000221.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

CAP. TII. Anabysis Infinitorum.
197
patetactum iri. posita enim AO: X, (IC Z ad P2-
rabolam AGO, UE GIE 2Y X = Z Z; e y 2d
criangulum ilolceles AFO, unde y = X; Crit
suffectis in locum 2 e y valoribus, 2r X = X X
hh, unde O Ccuhad Temicirculum AHO,
cujus centrum W. Quare si parabola latere rec-
10 2r deseripta ARO circaaXeM AO FOIC.
tur; ec trianculum ADO circacandem A
volvatur; erit differentia, qua conoides para-
Colicum Peu omnia 2 r x luperar conum scu
omnia xx requalis portion sphaeriex ex ses
mento lemicirculi AOr circa candem AC
reroluro genita.
Coroll. TT. Si vero portionis hujus sphaerica
non rario ad alia Colida, verum absolutus valor
GuATaTE; eA segmentum sphariCUM CX AOL
Bhcc
CIrCA AO rotatum = OMMia 2r = OMHIa
2 Y C X C = CX X C
 ex modo demonstratis: Sed
ex C dp. II. 8. 22. SUnEOMIa 2 YCN C = YC N N,
tum omnia cX X e = 36X, adeoque omnia
BhCC
2r leuportio (phaerica = Y N X = 5 ∞ IN 21
cono, cujus basis circulusradio  deserip-
3 Y X - X X
O + WO
cus, altitudo 2, - ~ seu 80 in OA.
Si rero quaeratur interea sphaera, AaL N = 2 Y, CYIF
91